37875778272 has 72 divisors (see below), whose sum is σ = 107861743080. Its totient is φ = 12607384320.

The previous prime is 37875778267. The next prime is 37875778273. The reversal of 37875778272 is 27287757873.

37875778272 is a `hidden beast` number, since 37 + 8 + 7 + 577 + 8 + 27 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37875778273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111447 + ... + 296937.

It is an arithmetic number, because the mean of its divisors is an integer number (1498079765).

Almost surely, 2^37875778272 is an apocalyptic number.

37875778272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37875778272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53930871540).

37875778272 is an abundant number, since it is smaller than the sum of its proper divisors (69985964808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

37875778272 is a wasteful number, since it uses less digits than its factorization.

37875778272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186216 (or 186205 counting only the distinct ones).

The product of its digits is 64538880, while the sum is 63.

The spelling of 37875778272 in words is "thirty-seven billion, eight hundred seventy-five million, seven hundred seventy-eight thousand, two hundred seventy-two".